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Solutions for Chapter 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES

Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES

Solutions for Chapter 16
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ISBN: 9780470888612

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES includes 83 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 83 problems in chapter 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES have been answered, more than 43548 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Base

See Exponential function, Logarithmic function, nth power of a.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Cone

See Right circular cone.

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Inverse cotangent function

The function y = cot-1 x

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Perpendicular lines

Two lines that are at right angles to each other

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• Vertical line

x = a.

• Weights

See Weighted mean.

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